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Brill Waves with Slow Fall-Off Towards Spatial Infinity

Brill Waves with Slow Fall-Off Towards Spatial Infinity

We compute families of solutions to the Einstein vacuum equations of the type of Brill waves, but with slow fall-off towards spatial infinity. We prove existence and uniqueness of solutions for physical data and numerically construct some representative solutions. We numerically construct an explicit example with slow-off which does not …